G5 U5 Assessment
Name__________________________________ Date_______________
Grade 5 Unit 5 Assessment Subtracting Fractions 1.
Solve.
A B C D
2.
6 2 − 7 5 4 2 4 12 4 35 16 35
Solve. 3−1 A
2
B
1
C
4
D
2
9 11
2 11 2 11 2 11 9 11
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 1
3.
3
1
Margaret is 3 feet tall. Her favorite doll is 1 feet tall. How much taller is 5 4 Margaret than her doll? Select the models that accurately represent this scenario.
−
1
−1
4
A 0
1
2
3
B
4
−
5 20
−1
C 0
1
2
3
D
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 2
4
4.
5
The community park is being remodeled. The planners set aside of the 12 park for the pool area. How much of the park will be left for other uses?
A B C D
5.
1 4 5 12 7 12 1 12
Solve. 4 1 5 −3 9 2
A
1
17
B
1
1
C
8
17
D
2
3
18
18
18
7
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 3
6.
1
4
Claudia ran of a mile on Monday and of a mile on Wednesday. How 2 5 much farther did Claudia run on Wednesday than on Monday? Which area model accurately represents this scenario?
A
B
C
D
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 4
7.
Lisa and Jim each planted a bean at the same time. In a few weeks, Lisa’s 1 2 plant grew to 2 feet tall and Jim’s plant grew to 2 feet tall. What was the 3 5 difference in height between the two plants?
1
B
1 inches
C D
8.
1
A
15
inches
1 2
1 15 2 15
inches inches
4
1
The combined length of two pieces of wood is 6 inches. If one piece is 3 5 4 inches long, how long is the other piece? Which equation accurately represents this scenario?
A B
4
1
3
5
4
1
6 − 3 = 3 inches 30 20
−
C
6
16
D
6
16
20
20
13 20
=
+3 −3
17 20
5 20 5 20
of an inch
=9
21
=3
11
20
20
inches inches
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 5
9.
3
1
Mario had of a cup of blueberries. He used of a cup in his cereal. 4 5 Which number lines accurately show how many cups of blueberries Mario has left?
−
1 5
A 0
1
2 −
B
0 −
1 5
−
1 5
−
3 1 20
−
1 20
−
1 20
−
1
2
3
4
4
4
4 1 20
1
1 5
C 0
1
2
3
4
5
5
5
5
5
5
−
4 20
D 0
5
10
15
20
20
20
20
20
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 6
10.
2
Bryson practiced playing the piano for of an hour on Saturday and for half 3 an hour on Sunday. How much longer did he practice on Saturday? Which equation accurately represents this scenario?
A B
6 4 6 2
C
3
D
11.
4
4 6
3
1
6
6
1
3
2
4
1
1
2
1
1
3
6
6
− = of an hour − = of an hour − = of an hour − = of an hour
5
2
Bert found of an apple pie in the refrigerator. He shared of the pie with 7 3 his friends. How much of the apple pie was left? Bert incorrectly calculated how much of the apple pie was left. Which step contains the first error?
A
5 2 − 7 3
B
5×3 2×7 − 7×3 3×7
C
5 2 − 21 21
D
3 21 Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 7
12.
13.
1
1
Pat had 5 cups of flour. If she used 3 cups to bake a cake, how much 2 3 flour did she have left? 1
A
2 cups of flour
B
1 cups of flour
C
2 cups of flour
D
2 cups of flour
6 1 6 5 6
0 1
Select all of the correct solutions. 1 2 − 4 12 A B C D
4 48 1 12 5 36 1 24
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 8
14.
Matilde correctly solved this problem. 4 2 2 3 −1 =2 5 3 15 Which statements could she use to show that her answer is reasonable? 4
2
4
2
A 3 is very close to 3 and 1 is very close to 2. 3 − 2 = 1, so the 5 3 difference between the fractions should also be close to 1. B 3 is very close to 4 and 1 is very close to 2. 4 − 2 = 2, so the 5 3 difference between the fractions should also be close to 2. 2
C Use estimation and addition to check subtraction. The difference, 2 , 2
15
is just a little bit greater than 2. The subtrahend, 1 , is a benchmark 3 fraction. When they are added together, their sum should be just a 2 little bit greater than 1 + 2. 3
D To find the difference between two fractions, the denominators are multiplied and the numerators are subtracted. So, when subtracting 2 4 1 from 3 , the denominator must be 15. 3
5
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 9
15.
Bernie solved this problem incorrectly. Which two statements would help him understand why his answer is not reasonable? 1 3 4 − = 2 8 8 A The numerators cannot be subtracted, so this problem cannot be solved. B
1 2
3
and are both less than 1, so their difference must be less than 1. 8
4
1
1
2
2
C The difference, , is equivalent to the minuend, . If part of was 8
1
taken away, the difference must be less than . 2
D
3
1
1
3
is close to the benchmark fraction , so the difference − should be 8 2 2 8 close to zero.
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 10
16.
Savannah brought 2 2
7 10
pounds of meat to the barbeque. Naomi brought
1 pounds of meat. How much more meat did Savannah bring to the 5 barbeque?
Write an equation to show the solution to this scenario.
Draw a fraction model or number line to show your thinking.
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 11
Grade 5 Unit 5 Assessment Subtracting Fractions 1.
Solve.
A B C D
2.
6 2 − 7 5 4 2 4 12 4 35 16 35
Solve. 3−1 A
2
B
1
C
4
D
2
9 11
2 11 2 11 2 11 9 11
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 1
3.
3
1
Margaret is 3 feet tall. Her favorite doll is 1 feet tall. How much taller is 5 4 Margaret than her doll? Select the models that accurately represent this scenario.
−
1
−1
4
A 0
1
2
3
B
4
−
5 20
−1
C 0
1
2
3
D
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 2
4
4.
5
The community park is being remodeled. The planners set aside of the 12 park for the pool area. How much of the park will be left for other uses?
A B C D
5.
1 4 5 12 7 12 1 12
Solve. 4 1 5 −3 9 2
A
1
17
B
1
1
C
8
17
D
2
3
18
18
18
7
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 3
6.
1
4
Claudia ran of a mile on Monday and of a mile on Wednesday. How 2 5 much farther did Claudia run on Wednesday than on Monday? Which area model accurately represents this scenario?
A
B
C
D
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 4
7.
Lisa and Jim each planted a bean at the same time. In a few weeks, Lisa’s 1 2 plant grew to 2 feet tall and Jim’s plant grew to 2 feet tall. What was the 3 5 difference in height between the two plants?
1
B
1 inches
C D
8.
1
A
15
inches
1 2
1 15 2 15
inches inches
4
1
The combined length of two pieces of wood is 6 inches. If one piece is 3 5 4 inches long, how long is the other piece? Which equation accurately represents this scenario?
A B
4
1
3
5
4
1
6 − 3 = 3 inches 30 20
−
C
6
16
D
6
16
20
20
13 20
=
+3 −3
17 20
5 20 5 20
of an inch
=9
21
=3
11
20
20
inches inches
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 5
9.
3
1
Mario had of a cup of blueberries. He used of a cup in his cereal. 4 5 Which number lines accurately show how many cups of blueberries Mario has left?
−
1 5
A 0
1
2 −
B
0 −
1 5
−
1 5
−
3 1 20
−
1 20
−
1 20
−
1
2
3
4
4
4
4 1 20
1
1 5
C 0
1
2
3
4
5
5
5
5
5
5
−
4 20
D 0
5
10
15
20
20
20
20
20
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 6
10.
2
Bryson practiced playing the piano for of an hour on Saturday and for half 3 an hour on Sunday. How much longer did he practice on Saturday? Which equation accurately represents this scenario?
A B
6 4 6 2
C
3
D
11.
4
4 6
3
1
6
6
1
3
2
4
1
1
2
1
1
3
6
6
− = of an hour − = of an hour − = of an hour − = of an hour
5
2
Bert found of an apple pie in the refrigerator. He shared of the pie with 7 3 his friends. How much of the apple pie was left? Bert incorrectly calculated how much of the apple pie was left. Which step contains the first error?
A
5 2 − 7 3
B
5×3 2×7 − 7×3 3×7
C
5 2 − 21 21
D
3 21 Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 7
12.
13.
1
1
Pat had 5 cups of flour. If she used 3 cups to bake a cake, how much 2 3 flour did she have left? 1
A
2 cups of flour
B
1 cups of flour
C
2 cups of flour
D
2 cups of flour
6 1 6 5 6
0 1
Select all of the correct solutions. 1 2 − 4 12 A B C D
4 48 1 12 5 36 1 24
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 8
14.
Matilde correctly solved this problem. 4 2 2 3 −1 =2 5 3 15 Which statements could she use to show that her answer is reasonable? 4
2
4
2
A 3 is very close to 3 and 1 is very close to 2. 3 − 2 = 1, so the 5 3 difference between the fractions should also be close to 1. B 3 is very close to 4 and 1 is very close to 2. 4 − 2 = 2, so the 5 3 difference between the fractions should also be close to 2. 2
C Use estimation and addition to check subtraction. The difference, 2 , 2
15
is just a little bit greater than 2. The subtrahend, 1 , is a benchmark 3 fraction. When they are added together, their sum should be just a 2 little bit greater than 1 + 2. 3
D To find the difference between two fractions, the denominators are multiplied and the numerators are subtracted. So, when subtracting 2 4 1 from 3 , the denominator must be 15. 3
5
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 9
15.
Bernie solved this problem incorrectly. Which two statements would help him understand why his answer is not reasonable? 1 3 4 − = 2 8 8 A The numerators cannot be subtracted, so this problem cannot be solved. B
1 2
3
and are both less than 1, so their difference must be less than 1. 8
4
1
1
2
2
C The difference, , is equivalent to the minuend, . If part of was 8
1
taken away, the difference must be less than . 2
D
3
1
1
3
is close to the benchmark fraction , so the difference − should be 8 2 2 8 close to zero.
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 10
16.
Savannah brought 2 2
7 10
pounds of meat to the barbeque. Naomi brought
1 pounds of meat. How much more meat did Savannah bring to the 5 barbeque?
Write an equation to show the solution to this scenario.
Draw a fraction model or number line to show your thinking.
Copyright © Swun Math Grade 5 Unit 5 Assessment, Page 11
